Question

How to convert √125x5x45x75 into 375√15

Answer 1

Answer:

Quite simple, you just need to break it into parts,

√(125×5×45×75)

= √(25×5×5×5×9×25×3)

= √25×√(5×5)×√5×√9×√25×√3

= 5×5×√5×3×5×√3

= 5×5×5×3×√(5×3)

= 375√15

or, you can break it like this too,

√(125×5×45×75)

= √(625×5×9×25×3)

= √625×√9×√25×√(5×3)

= 25×3×5×√15

= 375√15